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Finding the Fourth Proportional to 270,942.68, 406,471.09 and 102,459.28

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Solution

The fourth proportional to 270,942.68, 406,471.09 and 102,459.28 is: 153,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,942.68 : 406,471.09 = 102,459.28 : x
  2. Step 2: Convert to fraction form
    270,942.68/406,471.09 = 102,459.28/x
  3. Step 3: Cross multiply
    270,942.68x = 406,471.09 × 102,459.28
  4. Step 4: Simplify right side
    270,942.68x = 41,646,732,677.56
  5. Step 5: Solve for x
    x = 41,646,732,677.56/270,942.68
  6. Step 6: Final answer
    x = 153,710.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.